You wanted extra opinions: I agree with Brenda.
What most consumers and a measurable percentage of attorneys fail to understand is that writing a trust is like creating their own law. This is not about your bank's policies. If they provide for POA's, authorized signers, borrowing power, etc. all those things are possible. If they do not provide for them, they do not exist. If the documentary scheme is well crafted, the trust references the POA and the POA references the trust.
Even though the trust may provide for successor trustees upon the resignation of the first trustee (in this case Dad), the original trustee may be reluctant to resign. It sounded like a fine idea in the attorney's office four years ago, but now that the time has come it doesn't - it is an irrefutable acknowledgement of a deteriorating physical or mental condition. Some people simply cannot do it. Nevertheless, they are where they put themselves, they need to follow the law that they wrote.
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In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.